68046000 has 160 divisors (see below), whose sum is σ = 239556096. Its totient is φ = 16480000.

The previous prime is 68045981. The next prime is 68046007. The reversal of 68046000 is 64086.

It is a Cunningham number, because it is equal to 8249²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (68046007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65485 + ... + 66515.

Almost surely, 2^68046000 is an apocalyptic number.

68046000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119778048).

68046000 is an abundant number, since it is smaller than the sum of its proper divisors (171510096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68046000 is a wasteful number, since it uses less digits than its factorization.

68046000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 68046000 is about 8248.9999393866. Note that the first 4 decimals coincide. The cubic root of 68046000 is about 408.2575267669.

The spelling of 68046000 in words is "sixty-eight million, forty-six thousand".